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13033130012100 = 223252113769349291
BaseRepresentation
bin1011110110101000001100…
…0101011010110111000100
31201010221210020110112001200
42331222003011122313010
53202013322240341400
643415200503422500
72513420053144062
oct275520305326704
951127706415050
1013033130012100
114175357134190
121565aa8a54a30
13737032655b83
14330b4203b032
1517904ce86b00
hexbda8315adc4

13033130012100 has 216 divisors, whose sum is σ = 44577357595680. Its totient is φ = 3158699328000.

The previous prime is 13033130012083. The next prime is 13033130012107. The reversal of 13033130012100 is 121003133031.

It is a happy number.

13033130012100 is a `hidden beast` number, since 1 + 30 + 331 + 300 + 1 + 2 + 1 + 0 + 0 = 666.

13033130012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130331300121002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13033130012107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37138455 + ... + 37487745.

Almost surely, 213033130012100 is an apocalyptic number.

13033130012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033130012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288678797840).

13033130012100 is an abundant number, since it is smaller than the sum of its proper divisors (31544227583580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13033130012100 is a wasteful number, since it uses less digits than its factorization.

13033130012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353091 (or 353081 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13033130012100 its reverse (121003133031), we get a palindrome (13154133145131).

The spelling of 13033130012100 in words is "thirteen trillion, thirty-three billion, one hundred thirty million, twelve thousand, one hundred".